Quasiconformal mappings and solutions of the dispersionless KP hierarchy

A ∂¯formalism for studying dispersionless integrable hierarchies is applied to the dispersionless KP (dKP) hierarchy. We relate this formalism to the theory of quasiconformal mappings on the plane and present some classes of explicit solutions of the dKP hierarch.

Detalles Bibliográficos
Autores: Konopelchenko, Boris, Martínez Alonso, Luis, Medina Reus, Elena
Tipo de recurso: artículo
Fecha de publicación:2002
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/59823
Acceso en línea:https://hdl.handle.net/20.500.14352/59823
Access Level:acceso abierto
Palabra clave:51-73
Korteweg-devries equation
Whitham hierarchy
Conformal-maps
Models
Limit
Física-Modelos matemáticos
Física matemática
Descripción
Sumario:A ∂¯formalism for studying dispersionless integrable hierarchies is applied to the dispersionless KP (dKP) hierarchy. We relate this formalism to the theory of quasiconformal mappings on the plane and present some classes of explicit solutions of the dKP hierarch.